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2214510234012 = 223341993150359
BaseRepresentation
bin100000001110011011000…
…110001000100110011100
321211201001000200210112000
4200032123012020212130
5242240304104442022
64413155411442300
7315664425260226
oct40163306104634
97751030623460
102214510234012
1178419432761a
122b922abb6390
13130a9aabb71b
147927bb05416
153c9102706ac
hex2039b18899c

2214510234012 has 96 divisors (see below), whose sum is σ = 5882064115200. Its totient is φ = 720079113600.

The previous prime is 2214510234007. The next prime is 2214510234067. The reversal of 2214510234012 is 2104320154122.

2214510234012 is a `hidden beast` number, since 2 + 214 + 5 + 102 + 340 + 1 + 2 = 666.

It is a super-2 number, since 2×22145102340122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43949289 + ... + 43999647.

It is an arithmetic number, because the mean of its divisors is an integer number (61271501200).

Almost surely, 22214510234012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2214510234012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2941032057600).

2214510234012 is an abundant number, since it is smaller than the sum of its proper divisors (3667553881188).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2214510234012 is a wasteful number, since it uses less digits than its factorization.

2214510234012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60344 (or 60336 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 2214510234012 its reverse (2104320154122), we get a palindrome (4318830388134).

The spelling of 2214510234012 in words is "two trillion, two hundred fourteen billion, five hundred ten million, two hundred thirty-four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 492 738 1107 1476 2214 4428 9931 19862 29793 39724 50359 59586 89379 100718 119172 151077 178758 201436 268137 302154 357516 407171 453231 536274 604308 814342 906462 1072548 1221513 1359693 1628684 1812924 2064719 2443026 2719386 3664539 4129438 4886052 5438772 6194157 7329078 8258876 10993617 12388314 14658156 18582471 21987234 24776628 37164942 43974468 55747413 74329884 111494826 222989652 500115229 1000230458 1500345687 2000460916 3000691374 4501037061 6001382748 9002074122 13503111183 18004148244 20504724389 27006222366 41009448778 54012444732 61514173167 82018897556 123028346334 184542519501 246056692668 369085039002 553627558503 738170078004 1107255117006 2214510234012